a Diophantine equation question

[Jaap Spies]

Warut Roonguthai wrote:
> On 5/27/07, Jaap Spies <j.spies at hccnet.nl> wrote:
> 
>> As far as we can trust Computer Algebra! Maybe an independent result 
>> is needed.
>> I tried to compile SIMATH to that matter, but I failed. Maybe there is 
>> someone
>> on the seqfan list who can confirm the calculations on the elliptic 
>> curve.
>>
>> Jaap
> 
> With the single command:
> 
> IntegralPoints(EllipticCurve([18,0]))
> 
> Magma Calculator at http://magma.maths.usyd.edu.au/calc/
> has confirmed SAGE's result with
> 
> Magma V2.13-11    Mon May 28 2007 05:51:11    [Seed = 3891806395]
>   -------------------------------------
> 
> [ (0 : 0 : 1), (3 : 9 : 1), (6 : -18 : 1), (72 : 612 : 1) ]
> [
>    [ <(0 : 0 : 1), 1> ],
>    [ <(3 : 9 : 1), 1> ],
>    [ <(3 : 9 : 1), 1>, <(0 : 0 : 1), 1> ],
>    [ <(3 : 9 : 1), 2>, <(0 : 0 : 1), 1> ]
> ]
> 3
> 
> Total time: 0.460 seconds, Total memory usage: 8.20MB
> 
> Warut
> 
> 


Thanks!

Jaap